517801 ÷ 43 
We want to divide 517801 by 43.

Advancing to step 1:
When dividing 5 by 43, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 43

Moving on to step 2:
If we divide 51 by 43, we get 1 and a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 43 away from 51, we end up with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 43

Let's proceed to step 3:
When dividing 87 by 43, we get 2 with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 1 after subtracting 86 from 87.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 43

Moving on to step 4:
43 goes into 18 0 times with a remainder of 18.
The next digit of our result is 0. 
Result so far: 120.0
If we take 0 away from 18, we end up with 18.
Fetch the next digit (0) from the dividend, attach it to 18 and continue: 180 / 43

Step 5:
When dividing 180 by 43, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 1204.0
If we subtract 172 from 180, we get 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 43

Moving on to step 6:
81 divided by 43 is 1 with a remainder of 38.
The next digit of our result is 1. 
Result so far: 12041.0
Subtracting 43 from 81 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 7:
If we divide 380 by 43, we get 8 and a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 12041.8
If we take 344 away from 380, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 8:
When dividing 360 by 43, we get 8 with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 12041.88
The remainder is 16 after subtracting 344 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 12041.88 with a remaining 0.016.